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Finding the Fourth Proportional to 9,588.51, 14,381.82 and 3,014.52

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Solution

The fourth proportional to 9,588.51, 14,381.82 and 3,014.52 is: 4,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.51 : 14,381.82 = 3,014.52 : x
  2. Step 2: Convert to fraction form
    9,588.51/14,381.82 = 3,014.52/x
  3. Step 3: Cross multiply
    9,588.51x = 14,381.82 × 3,014.52
  4. Step 4: Simplify right side
    9,588.51x = 43,354,284.03
  5. Step 5: Solve for x
    x = 43,354,284.03/9,588.51
  6. Step 6: Final answer
    x = 4,521.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.